Similarly, £24. 3 fl. 7 c. 2 m. = 243.72 fl., or=2437·2 c. for, proceeding by Rule (Art. 116), we get 18300+9, or 18309 m. Similarly £18. 3 fl. 9 m. 183·09 fl., or=1830'9 c. Reduce, expressing in each successive inferior denomination and verifying each result: (1) £15. 6 fl. to mils, and 6 fl. 3 c. 2 m. to mils. (2) £30. 91 fl. to mils, and £96. 1 fl. 2 c. 9 m. to mils, 131. (3) £18. 6 c. to mils, and 91 fl. to mils. (4) £10. 1 m. to mils, and £46. 23 c. to mils. The addition, subtraction, multiplication, and division of money would also be much simplified by the adoption of a decimal coinage, as will be evident from the following examples. Ex. 1. Find the sum of £18. 6 fl. 3 c. 5 m.; 9 fl. 9 m.; £24. 1 m.; 3 c. 2 m.; 51 fl. Ex. 2. From £16. 3 c. 2 m., subtract £14. 4 fl. 9 m. Ex. 4. Divide £368. 7 fl. 3 c. 6 m. by 23. In other words, divide 368736 m. by 23, or £368'736 by 23. each of the above results = £16. 0 fl. 3 c. 2 m. Note. Similar advantages would result from the use of a decimal system in weights and measures. Ex. XLVI. 1. Add together (1) £76. 8fl. 5 c. 3 m.; £27. 9fl. 9m. ; £84. 1c.; £56. 3fl. 6c. 2m.; Miscellaneous Questions and Examples on Arts. (100-131). Note.-Where the contrary is not expressed, a year is supposed to consist of 365 days. I. (1) Explain the meaning of the term 'Reduction. Reduce 537983 half-guineas into seven-shilling pieces, and also into groats. (2) What is the standard of the gold, and silver, and copper coinage in this kingdom? According to the present law in England for what sums respectively are copper and silver legal tenders? (3) What is meant by Compound Multiplication'? Can concrete numbers of the same or different kinds be multiplied together? Give the reason. What is the cost of school accommodation for 13750 children at £1. 18s. 6d. each? (4) How many nobles are equivalent to £26. 14s.? (5) A person bought 1763 yards of cloth at 5s. 31d. per yard, and retailed it at 6s. 11d. per yard: what was his profit? (6) A person's weekly income is £14, and his quarterly expenditure is £128. 10s.; how much will he have saved at the end of 8 years? (supposing a year to consist of 52 weeks). (7) An equal number of guineas, pounds, half-guineas, crowns, and half-crowns amount to £398. 5s.: how many of each sort are there? (8) What quantity of water must I add to a pipe of wine, which cost £90, to reduce its price to 10s. a gallon? II. (1) Explain the meaning of 'Compound Division': what different cases are there of it? If £1844. 2s. 8d. be divided equally among 49 persons, how much will each receive? (2) A house and its furniture are worth £6734. 5s. 9d.; but the house is worth 8 times as much as the furniture; what is the house worth? (3) Define 'a square', 'a cube'; shew clearly by a figure how many cubic feet there are in a cubic yard. Reduce 4203239040 cub. in. to cub. yds.; and find how many grains of wheat there are in a load, if a pint contains 7000 grains. (4) Divide £3. 13s. 9d. between two persons, so that one shall receive half as much again as the other. (5) A jeweller sold jewels to the value of 834 guineas, for which he received in part 1429 dollars, worth 4s. 6d. each; what sum remained unpaid? (6) The tax on a certain property amounts to £974. 16s. 3 d. at the rate of 2s. 23d. in the pound. What is the value of the property? (7) If I bottle off two-thirds of 2 pipes of wine into quarts, and the rest into pints, how many dozens of each shall I have? (8) A servant's wages are £10. 8s. a year; how much ought he to receive for 7 weeks? (supposing a year to consist of 52 wecks). |